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Expansion of (x^2 - y^2)

If a-b=5 and ...

Question

If a − b = 5 and ab = 12, find the value of a² + b².

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Solution

We have to find the value

Given

Using identity

By substituting the value of we get ,

By transposing – 24 to left hand side we get

Hence the value of is .

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Similar questions

a + b = 7

a b = 12

a^{2} - a b + b^{2}

If a + b = 10 and ab = 16, find the value of $a^{2} - a b + b^{2} a n d a^{2} + a b + b^{2}$ .

Q. If the values of

a + b

a b

12

32

respectively, find the values of

a^{2} + b^{2}

(a - b)^{2}

a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}

b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}

, then find the value of

\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}

Q. Find the value of

a^{2} + b^{2}

a + b = 5

a b = 3

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